Some families of hypergeometric polynomials and associated integral representations

DOI10.1016/j.jmaa.2004.01.024zbMath1048.33012OpenAlexW2117173602MaRDI QIDQ596769

Shy-Der Lin, Yi-Shan Chao, Hari M. Srivastava

Publication date: 10 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.01.024

zbMATH Keywords

integral representationshypergeometric polynomialslinearization relationship

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47) Hypergeometric functions (33C99)

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Cites Work

• Operational formulas connected with two generalizations of Hermite polynomials
• Some families of hypergeometric transformations and generating relations.
• Biorthogonal polynomials suggested by the Laguerre polynomials
• An Integral Representation for the Product of Two Jacobi Polynomials†
• Integral Representation for the Product of Two Jacobi Polynomials
• A New Class of Orthogonal Polynomials: The Bessel Polynomials
• A note on the integral representation for the product of two generalized Rice polynomials
• Some \(q\)-genrating functions and associated generalized hypergeometric polynomials
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